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Finding the Fourth Proportional to 19,989.36, 29,981.76 and 6,840

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Solution

The fourth proportional to 19,989.36, 29,981.76 and 6,840 is: 10,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.36 : 29,981.76 = 6,840 : x
  2. Step 2: Convert to fraction form
    19,989.36/29,981.76 = 6,840/x
  3. Step 3: Cross multiply
    19,989.36x = 29,981.76 × 6,840
  4. Step 4: Simplify right side
    19,989.36x = 205,075,238.40
  5. Step 5: Solve for x
    x = 205,075,238.40/19,989.36
  6. Step 6: Final answer
    x = 10,259.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.